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38631532752 = 2432268274533
BaseRepresentation
bin100011111110100111…
…100110100011010000
310200201022001012100100
4203332213212203100
51113104133022002
625425211452400
72535216416241
oct437647464320
9120638035310
1038631532752
111542454737a
1275a1757100
1338486c4627
141c26946cc8
1510117c011c
hex8fe9e68d0

38631532752 has 30 divisors (see below), whose sum is σ = 108114637202. Its totient is φ = 12877177536.

The previous prime is 38631532741. The next prime is 38631532769. The reversal of 38631532752 is 25723513683.

38631532752 is a `hidden beast` number, since 3 + 8 + 6 + 315 + 327 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35120259216 + 3511273536 = 187404^2 + 59256^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38631532698 and 38631532707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134137123 + ... + 134137410.

Almost surely, 238631532752 is an apocalyptic number.

It is an amenable number.

38631532752 is an abundant number, since it is smaller than the sum of its proper divisors (69483104450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38631532752 is a wasteful number, since it uses less digits than its factorization.

38631532752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268274547 (or 268274538 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 38631532752 in words is "thirty-eight billion, six hundred thirty-one million, five hundred thirty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 268274533 536549066 804823599 1073098132 1609647198 2146196264 2414470797 3219294396 4292392528 4828941594 6438588792 9657883188 12877177584 19315766376 38631532752